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Finding the Fourth Proportional to 426,198.60, 638,520.30 and 259,792.20

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Solution

The fourth proportional to 426,198.60, 638,520.30 and 259,792.20 is: 389,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,198.60 : 638,520.30 = 259,792.20 : x
  2. Step 2: Convert to fraction form
    426,198.60/638,520.30 = 259,792.20/x
  3. Step 3: Cross multiply
    426,198.60x = 638,520.30 × 259,792.20
  4. Step 4: Simplify right side
    426,198.60x = 165,882,593,481.66
  5. Step 5: Solve for x
    x = 165,882,593,481.66/426,198.60
  6. Step 6: Final answer
    x = 389,214.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.